Bishop half-throttled by his superior? That’s right (6)
I believe the answer is:
proper
'that's right' is the definition.
(associated in meaning)
'bishop half-throttled by' is the wordplay.
'bishop' becomes 'bp'.
'half' means to take half the letters.
'throttled' becomes 'ro' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'by' becomes 'per' (I've seen this in another clue).
'bp' halved is 'p'.
'p'+'ro'+'per'='PROPER'
'his superior?' acts as a link.
This may not be right. Some or all of it may be part of another bit of the clue.
(Other definitions for proper that I've seen before include "Suitable and correct" , "part of Mass" , "Suitable or appropriate" , "well-behaved" , "Conforming to etiquette" .)